SOLUTION: we are working on systems of linear equations in two variables. Solve ( I have no idea): 10x-2y=4 3x-6y=12

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Question 615986: we are working on systems of linear equations in two variables.
Solve ( I have no idea):
10x-2y=4
3x-6y=12
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
theres a few ways to solve it 2 main ways are by elimination or by substitution
i find elimination easier and faster
there are several ways to solve using elimination i try to find the easiest one to eliminate with using the smallest numbers
im going to eliminate the y variable since 2 goes into 6 3 times and 6 stays a 6
so multiply the top equation by 3
3%2810x-2y%29=3%284%29
30x-6y=12 <---new first equation
3x-6y=12 <---original 2nd equation, now subtract the equations like u would an old fasion 3rd grade subtraction problem
%2830x-3x%29%2B%28-6y-%28-6y%29%29=%2812-12%29
27x%2B0=0
highlight%28x=0%29
10x-2y=4
10%280%29-2y=4
-2y=4
highlight%28y=-2%29